Heavy Quark Physics *

Present and future lattice calculations involving b and c quarks include some of the most important applications of lattice gauge theory to standard model physics. These include the heavy meson decay constants, the BB mixing amplitude, and various semileptonic decay amplitudes, which are all crucial in extracting CKM angles from experimental data. They also include the extraction of αs from the charmonium and bottomonium spectra. Bound states of heavy quarks and antiquarks (quarkonia) have another crucial role to play in the development of lattice gauge theory: they provide systems in which the estimation of the errors inherent in current lattice calculations can be done in a more reliable and robust way than is possible for the light hadrons. The reason is that the quarks in these systems are relatively nonrelativistic. Coulomb gauge wave functions calculated on the lattice may be used to aid in the estimation of finite volume and finite lattice spacing errors, and of the effects of quenching. We have a much better idea of what to expect in lattice calculations of these systems since potential models may be used to obtain the leading behavior in v/c.[1] Chris Sachrajda and I will split the subject of heavy quark physics in these proceedings. His review [3] will concentrate on the part of the subject which involves the weak interactions. Mine will concentrate on the part which does not.